>> “And so it is. Jesus and family were in a house in Bethlehem when the wisemen visited and went in. Not cave, manger, etc.” <<
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Correct.
The Magi came long after his birth in the sheepfold of the passover lambs. They were living in a proper residence, not at the sheepfold. There is no way of knowing exactly where, since the entire area was dragged to rubble with large timbers and stones drawn by oxen by the Romans.
A person might think such an exact location really is of no importance to Christian faith and understanding interesting as it may be. And they'd be right.